Building materials and related methods

ABSTRACT

Some embodiments relate to a method for producing a building material. The method comprises identifying a first wavelength of light for a building material. The first wavelength of light defines a first color. The method comprises calculating a second wavelength of light for the building material by multiplying the first wavelength of light by a phi factor. The second wavelength of light defines a second color. The method comprises producing a building material having at least one of the first color, the second color, or any combination thereof.

CROSS-REFERENCE TO RELATED APPLICATIONS

The present application claims priority to and benefit of U.S.Provisional Patent Application No. 63/289,988, filed Dec. 15, 2021 andentitled “BUILDING MATERIALS AND RELATED METHODS,” the entirety of whichis herein incorporated by reference.

FIELD

This disclosure generally relates to building materials havingcomplementary colors and related methods.

BACKGROUND

Colored building materials, such as roofing materials, may be useful forenhancing aesthetic aspects of a building or structure. The selection ofbuilding materials having complementary colors can be an inefficient andexpensive process for industry professionals, as well as consumers. Inaddition, the selection of building materials having complementarycolors is particularly difficult when uncommon colors are used.

SUMMARY

Some embodiments relate to a method for producing a roofing material. Insome embodiments, the method comprises identifying a first wavelength oflight for a roofing material. In some embodiments, the first wavelengthof light defines a first color. In some embodiments, the methodcomprises calculating a second wavelength of light for the roofingmaterial. In some embodiments, the second wavelength of light defines asecond color. In some embodiments, the second wavelength of light iscalculated by multiplying the first wavelength of light times a phifactor. In some embodiments, the method comprises producing the roofingmaterial. In some embodiments, the roofing material comprises aplurality of roofing granules. In some embodiments, the plurality ofroofing granules comprises at least one of the first color, the secondcolor, or any combination thereof.

In some embodiments, the method further comprises applying the pluralityof roofing granules to at least one roofing substrate.

In some embodiments, the plurality of roofing granules comprises a firstplurality of roofing granules having the first color, and a secondplurality of roofing granules having the second color.

In some embodiments, the method further comprises applying the firstplurality of roofing granules and the second plurality of roofinggranules to at least one roofing substrate.

In some embodiments, the at least one roofing substrate comprises atleast a portion of the first plurality of roofing granules and at leasta portion of the second plurality of roofing granules.

In some embodiments, the method further comprises applying the firstplurality of roofing granules to a first roofing substrate and applyingthe second plurality of roofing granules to a second roofing substrate.

In some embodiments, the first roofing substrate does not comprise thesecond plurality of roofing granules.

In some embodiments, the second roofing substrate does not comprise thefirst plurality of roofing granules.

In some embodiments, the plurality of roofing granules comprises aplurality of roofing granules having a color blend.

In some embodiments, the color blend is a color resulting from acombination of the first color and the second color.

In some embodiments, the color blend is different from the first colorand the second color.

In some embodiments, the method further comprises applying the pluralityof roofing granules having the color blend to at least one roofingsubstrate.

In some embodiments, the phi factor is a product of n times φ, where nis >0 and φ is 1.618±ϵ, where ϵis 0 to 1.

Some embodiments relate to a method for producing a roofing material. Insome embodiments, the method comprises identifying a first wavelength oflight for a roofing material. In some embodiments, the first wavelengthof light defines a first color. In some embodiments, the methodcomprises calculating a second wavelength of light for the roofingmaterial. In some embodiments, the second wavelength of light defines asecond color. In some embodiments, the second wavelength of light iscalculated by multiplying the first wavelength of light times a phifactor. In some embodiments, the method comprises calculating a thirdwavelength of light for the roofing material. In some embodiments, thethird wavelength of light defines a third color. In some embodiments,the third wavelength of light is calculated by multiplying the firstwavelength of light or the second wavelength of light times a second phifactor. In some embodiments, the method comprises producing the roofingmaterial. In some embodiments, the roofing material comprises a firstplurality of roofing granules having the first color, a second pluralityof roofing granules having the second color, and a third plurality ofroofing granules having the third color.

In some embodiments, the method further comprises applying the firstplurality of roofing granules, the second plurality of roofing granules,and the third plurality of roofing granules to at least one roofingsubstrate.

In some embodiments, the at least one roofing substrate comprises atleast a portion of the first plurality of roofing granules, at least aportion of the second plurality of roofing granules, and at least aportion of the third plurality of roofing granules.

In some embodiments, the method further comprises applying the firstplurality of roofing granules to a first roofing substrate.

In some embodiments, the method further comprises applying the secondplurality of roofing granules to a second roofing substrate.

In some embodiments, the method further comprises applying the thirdplurality of roofing granules to a third roofing substrate.

In some embodiments, the first roofing substrate does not comprise thesecond plurality of roofing granules.

In some embodiments, the first roofing substrate does not comprise thethird plurality of roofing granules.

In some embodiments, second roofing substrate does not comprise thefirst plurality of roofing granules.

In some embodiments, second roofing substrate does not comprise thethird plurality of roofing granules.

In some embodiments, third roofing substrate does not comprise the firstplurality of roofing granules.

In some embodiments, the third roofing substrate does not comprise thesecond plurality of roofing granules.

In some embodiments, the phi factor and the second phi factor are thesame.

In some embodiments, the phi factor and the second phi factor aredifferent.

In some embodiments, the phi factor is a product of n times φ, where nis >0 and φ is 1.618±ϵ, where ϵis 0 to 1.

Some embodiments relate to a method for producing a roofing material. Insome embodiments, the method comprises identifying a first wavelength oflight for a roofing material. In some embodiments, the first wavelengthof light defines a first color. In some embodiments, the methodcomprises calculating a second wavelength of light for the roofingmaterial. In some embodiments, the second wavelength of light iscalculated by multiplying the first wavelength of light times a phifactor. In some embodiments, the second wavelength of light defines asecond color. In some embodiments, the method comprises producing theroofing material. In some embodiments, the roofing material comprises aplurality of roofing granules. In some embodiments, the plurality ofroofing granules having a color blend. In some embodiments, the colorblend is a color resulting from a combination of the first color and thesecond color.

In some embodiments, the color blend is different from the first colorand the second color.

In some embodiments, the method further comprises applying the pluralityof roofing granules having the color blend to at least one roofingsubstrate.

In some embodiments, the phi factor is a product of n times φ, where nis >0 and φ is 1.618±ϵ, where ϵ is 0 to 1.

Some embodiments relate to a method for selecting a building material.In some embodiments, the method comprises identifying a first wavelengthof light from a color source. In some embodiments, the first wavelengthof light defines a first color. In some embodiments, the color source isa color from a color swatch or a color palette, or a first buildingmaterial. In some embodiments, the first building material is at leastone of a first roofing shingle, a first roofing granule, a first solarroofing panel, a first shutter, a first siding, a first wall, a firsttrim, any component thereof, or any combination thereof. In someembodiments, the method comprises calculating a second wavelength oflight. In some embodiments, the second wavelength of light is calculatedby multiplying the first wavelength of light times a phi factor. In someembodiments, the second wavelength of light defines a second color. Insome embodiments, the method comprises selecting a second buildingmaterial having the second color. In some embodiments, the secondbuilding material is at least one of a second roofing shingle, a secondroofing granule, a second solar roofing panel, a second shutter, asecond siding, a second wall, a second trim, any component thereof, orany combination thereof.

In some embodiments, the identifying comprises determining the firstwavelength of light of the first building material.

In some embodiments, the identifying comprises measuring the firstwavelength of light of the first building material.

In some embodiments, the selecting comprises obtaining the secondbuilding material having the second color.

In some embodiments, the selecting comprises manufacturing the secondbuilding material having the second color.

In some embodiments, the method further comprises installing the firstbuilding material and the second building material on a buildingstructure.

In some embodiments, the method further comprises calculating a thirdwavelength of light.

In some embodiments, the third wavelength of light is calculated bymultiplying the first wavelength of light or the second wavelength oflight times a second phi factor.

In some embodiments, the third wavelength of light defines a thirdcolor.

In some embodiments, the method further comprises selecting a thirdbuilding material having the third color.

In some embodiments, the third building material is a third roofingshingle, a third roofing granule, a third solar roofing panel, a thirdshutter, a third siding, a third wall, a third trim, any componentthereof, or any combination thereof.

In some embodiments, the phi factor and the second phi factor are thesame.

In some embodiments, the phi factor and the second phi factor aredifferent.

In some embodiments, the method further comprises measuring a wavelengthof light of the first building material to obtain a first measuredwavelength of light.

In some embodiments, the first measured wavelength of light is within10% of the first wavelength of light.

In some embodiments, the method further comprises measuring a wavelengthof light of the second building material to obtain a second measuredwavelength of light.

In some embodiments, the second measured wavelength of light is within10% of the second wavelength of light.

In some embodiments, the phi factor is a product of n times φ, where nis >0 and φ is 1.618±ϵ, where ϵ is 0 to 1.

Some embodiments relate to a method for producing a roofing shingle. Insome embodiments, the method comprises identifying a first dimension ofa tab portion or an exposed portion of a roofing shingle. In someembodiments, the first dimension is a length of the tab portion, alength of the exposed portion, a width of the tab portion, a width ofthe exposed portion, a surface area of the tab portion, or a surfacearea of the exposed portion. In some embodiments, the method comprisescalculating a second dimension of the tab portion or the exposed portionof the roofing shingle. In some embodiments, the second dimension iscalculated by multiplying the first dimension times a phi factor. Insome embodiments, the second dimension is a length of the tab portion, alength of the exposed portion, a width of the tab portion, a width ofthe exposed portion, a surface area of the tab portion, or a surfacearea of the exposed portion. In some embodiments, the second dimensionis different from the first dimension. In some embodiments, the methodcomprises producing a roofing shingle. In some embodiments, the roofingshingle is a roofing shingle having the tab portion having the firstdimension and the second dimension, the exposed portion having the firstdimension and the second dimension, or the tab portion having the firstdimension and the exposed portion having the second dimension.

In some embodiments, the identifying comprises measuring the firstdimension.

In some embodiments, the identifying comprises selecting the firstdimension.

In some embodiments, when the first dimension is the length of the tabportion, the second dimension is the width of the tab portion.

In some embodiments, when the first dimension is the width of the tabportion, the second dimension is the length of the tab portion.

In some embodiments, when the first dimension is the length of theexposed portion, the second dimension is the width of the exposedportion.

In some embodiments, when the first dimension is the width of theexposed portion, the second dimension is the length of the exposedportion.

In some embodiments, when the first dimension is the surface area of thetab portion, the second dimension is the surface area of the exposedportion.

In some embodiments, when the first dimension is the surface area of theexposed portion, the second dimension is the surface area of the tabportion.

BRIEF DESCRIPTION OF THE DRAWINGS

Reference is made to the drawings that form a part of this disclosure,and which illustrate embodiments in which the materials and methodsdescribed herein can be practiced.

FIG. 1 is a flowchart of a method for producing a building material,according to some embodiments.

FIG. 2 is a flowchart of a method for producing a roofing material,according to some embodiments.

FIG. 3 is a flowchart of a method for color matching a buildingmaterial, according to some embodiments.

FIG. 4 is a flowchart of a method for producing a roofing shingle,according to some embodiments.

FIG. 5 is a schematic diagram of a roofing shingle, according to someembodiments.

DETAILED DESCRIPTION

Some embodiments of the present disclosure relate to building materialshaving complementary colors and related methods.

As used herein, the term “building material” refers to any material orcomponent of a building. In some embodiments, the building materialcomprises an exterior component of a building. In some embodiments, thebuilding material comprises an interior component of a building. In someembodiments, the building comprises at least one of residentialbuildings (e.g., a dwelling), commercial buildings, industrialbuildings, or any combination thereof. In some embodiments, the buildingmaterial comprises, consists of, or consists essentially of at least oneof roofing materials, siding materials, framing materials, flooringmaterials, or any combination thereof. In some embodiments, the buildingmaterial does not comprise an interior component of a building (e.g.,interior walls). In some embodiments, the building material comprises,consists of, or consists essentially of a roofing material.

As used herein, the term “roofing material” refers to any material orcomponent of a roof. In some embodiments, the roofing materialcomprises, consists of, or consists essentially of at least one of ashingle, a membrane, an underlayment, a tile, a photovoltaic, a roofinggranule, a roof panel or panel roofing (e.g., metal panel roofing, steelpanel roofing, alloy panel roofing, aluminum panel roofing, and thelike), a non-asphaltic roofing shingle, a non-asphalt roof membrane, apolymeric roofing material, or any combination thereof. In someembodiments, the roofing material comprises a plurality of roofinggranules. In some embodiments, the roofing material comprises at leastone roofing shingle. In some embodiments, the roofing materialcomprises, consists of, or consists essentially of asphalt. For example,in some embodiments, the roofing material comprises 0.1% to 49% byweight of asphalt based on a total weight of the roofing material. Insome embodiments, the roofing material does not comprise asphalt. Forexample, in some embodiments, the roofing material is a non-asphalticroofing material.

FIG. 1 is a flowchart of a method for producing a building material,according to some embodiments. As shown in FIG. 1 , the method 100 forproducing a building material comprises, consists of, or consistsessentially of one or more of the following steps: a step 102 ofidentifying a first wavelength of light for a building material; a step104 of calculating a second wavelength of light for the buildingmaterial; a step 106 of calculating a third wavelength of light for thebuilding material; and a step 108 of producing the building material.

At step 102, in some embodiments, the method 100 comprises identifying afirst wavelength of light for a building material.

In some embodiments, the identifying comprises selecting the firstwavelength of light. In some embodiments, the identifying comprisesmeasuring the first wavelength of light. In some embodiments, theidentifying comprises detecting the first wavelength of light. In someembodiments, the identifying comprises observing the first wavelength oflight. In some embodiments, the identifying comprises requesting thefirst wavelength of light. In some embodiments, the identifyingcomprises obtaining the first wavelength of light. In some embodiments,the identifying comprises determining the first wavelength of light.

In some embodiments, the first wavelength of light defines a firstcolor. In some embodiments, the first wavelength of light has awavelength in a range of 400 nm to 800 nm. In some embodiments, thefirst wavelength of light has a wavelength in a range of 400 nm to 420nm. In some embodiments, the first wavelength of light has a wavelengthin a range of 400 nm to 440 nm. In some embodiments, the firstwavelength of light has a wavelength in a range of 400 nm to 490 nm. Insome embodiments, the first wavelength of light has a wavelength in arange of 400 nm to 570 nm. In some embodiments, the first wavelength oflight has a wavelength in a range of 400 nm to 585 nm. In someembodiments, the first wavelength of light has a wavelength in a rangeof 400 nm to 620 nm. In some embodiments, the first wavelength of lighthas a wavelength in a range of 400 nm to 780 nm.

In some embodiments, the first wavelength of light has a wavelength in arange of 420 nm to 780 nm. In some embodiments, the first wavelength oflight has a wavelength in a range of 440 nm to 780 nm. In someembodiments, the first wavelength of light has a wavelength in a rangeof 490 nm to 780 nm. In some embodiments, the first wavelength of lighthas a wavelength in a range of 570 nm to 780 nm. In some embodiments,the first wavelength of light has a wavelength in a range of 585 nm to780 nm. In some embodiments, the first wavelength of light has awavelength in a range of 620 nm to 780 nm.

In some embodiments, the first wavelength of light has a wavelength in arange of 420 nm to 440 nm. In some embodiments, the first wavelength oflight has a wavelength in a range of 440 nm to 490 nm. In someembodiments, the first wavelength of light has a wavelength in a rangeof 490 nm to 570 nm. In some embodiments, the first wavelength of lighthas a wavelength in a range of 570 nm to 585 nm. In some embodiments,the first wavelength of light has a wavelength in a range of 585 nm to620 nm. In some embodiments, the first wavelength of light has awavelength in a range of 620 nm to 780 nm.

At step 104, in some embodiments, the method 100 comprises calculating asecond wavelength of light for the building material.

As used herein, the term “calculating” refers to a mathematicaloperation. In some embodiments, the calculating comprises a mathematicaloperation in which A is multiplied times B to obtain a product C. Themathematical operation is represented by the following mathematicalformula: A×B=C. For example, in some embodiments, a second wavelength oflight is calculated by multiplying a first wavelength of light times aphi factor. In some embodiments, the first wavelength of light is lighthaving a wavelength in the visible spectrum. For example, in someembodiments, the first wavelength of light is 400 nm. In someembodiments, the phi factor is 1.618. The second wavelength of light isthe mathematical product of 400 nm multiplied by 1.618 (a dimensionlessquantity). The mathematical product is 647 nm, which is the secondwavelength of light. As another example, in some embodiments, the firstwavelength of light is 800 nm. In some embodiments, the phi factor is0.618. The second wavelength of light is the mathematical product of 800nm multiplied by 0.618 (a dimensionless quantity). The mathematicalproduct is 494 nm, which is the second wavelength of light.

In some embodiments, the calculating the second wavelength of lightcomprises multiplying the first wavelength of light by a phi factor. Asused herein, the term “phi factor” refers to a product of n times φ,where n is >0 and φ is 1.618±ϵ, where ϵ is 0 to 1. In some embodiments,the phi factor is a first phi factor.

In some embodiments, n is a number in a range of 0.1 to 100. In someembodiments, n is 0.1. In some embodiments, n is 0.2. In someembodiments, n is 0.3. In some embodiments, n is 0.4. In someembodiments, n is 0.5. In some embodiments, n is 0.6. In someembodiments, n is 0.7. In some embodiments, n is 0.8. In someembodiments, n is 0.9. In some embodiments, n is 1. In some embodiments,n is 1.1. In some embodiments, n is 1.2. In some embodiments, n is 1.3.In some embodiments, n is 1.4. In some embodiments, n is 1.5. In someembodiments, n is 1.6. In some embodiments, n is 1.7. In someembodiments, n is 1.8. In some embodiments, n is 1.9. In someembodiments, n is 2. In some embodiments, n is 3. In some embodiments, nis 4. In some embodiments, n is 5. In some embodiments, n is 6. In someembodiments, n is 7. In some embodiments, n is 8. In some embodiments, nis 9. In some embodiments, n is 10. In some embodiments, n is 15. Insome embodiments, n is 20. In some embodiments, n is 25. In someembodiments, n is 30. In some embodiments, n is 35. In some embodiments,n is 40. In some embodiments, n is 45. In some embodiments, n is 50. Insome embodiments, n is 55. In some embodiments, n is 60. In someembodiments, n is 70. In some embodiments, n is 80. In some embodiments,n is 90. In some embodiments, n is 100. In some embodiments, it will beappreciated that the value of n is not particularly limited and thus,although values are provided herein, other n values may be used hereinwithout departing from the scope of this disclosure.

In some embodiments, ϵ is 0.1. In some embodiments, ϵ is 0.2. In someembodiments, ϵ is 0.3. In some embodiments, ϵ is 0.4. In someembodiments, ϵ is 0.5. In some embodiments, ϵ is 0.6. In someembodiments, ϵ is 0.7. In some embodiments, ϵ is 0.8. In someembodiments, ϵ is 0.9. In some embodiments, ϵ is 1. In some embodiments,it will be appreciated that the value of ϵ is not particularly limitedand thus, although values are provided herein, other ϵ values may beused herein without departing from the scope of this disclosure.

In some embodiments, the second wavelength of light defines a secondcolor. In some embodiments, the second wavelength of light has awavelength in a range of 400 nm to 800 nm. In some embodiments, thesecond wavelength of light has a wavelength in a range of 400 nm to 420nm. In some embodiments, the second wavelength of light has a wavelengthin a range of 400 nm to 440 nm. In some embodiments, the secondwavelength of light has a wavelength in a range of 400 nm to 490 nm. Insome embodiments, the second wavelength of light has a wavelength in arange of 400 nm to 570 nm. In some embodiments, the second wavelength oflight has a wavelength in a range of 400 nm to 585 nm. In someembodiments, the second wavelength of light has a wavelength in a rangeof 400 nm to 620 nm. In some embodiments, the second wavelength of lighthas a wavelength in a range of 400 nm to 780 nm.

In some embodiments, the second wavelength of light has a wavelength ina range of 420 nm to 780 nm. In some embodiments, the second wavelengthof light has a wavelength in a range of 440 nm to 780 nm. In someembodiments, the second wavelength of light has a wavelength in a rangeof 490 nm to 780 nm. In some embodiments, the second wavelength of lighthas a wavelength in a range of 570 nm to 780 nm. In some embodiments,the second wavelength of light has a wavelength in a range of 585 nm to780 nm. In some embodiments, the second wavelength of light has awavelength in a range of 620 nm to 780 nm.

In some embodiments, the second wavelength of light has a wavelength ina range of 420 nm to 440 nm. In some embodiments, the second wavelengthof light has a wavelength in a range of 440 nm to 490 nm. In someembodiments, the second wavelength of light has a wavelength in a rangeof 490 nm to 570 nm. In some embodiments, the second wavelength of lighthas a wavelength in a range of 570 nm to 585 nm. In some embodiments,the second wavelength of light has a wavelength in a range of 585 nm to620 nm. In some embodiments, the second wavelength of light has awavelength in a range of 620 nm to 780 nm.

At step 106, in some embodiments, the method 100 comprises calculating athird wavelength of light for the building material.

In some embodiments, the calculating the third wavelength of lightcomprises multiplying the first wavelength of light or the secondwavelength of light times a phi factor. In some embodiments, thecalculating the third wavelength of light comprises multiplying thesecond wavelength of light times the phi factor used for calculating thesecond wavelength of light. In some embodiments, the phi factor used forcalculating the second wavelength of light is a first phi factor. Insome embodiments, the calculating the third wavelength of lightcomprises multiply the second wavelength of light times a second phifactor, wherein the second phi factor is different from the first phifactor. In some embodiments, the calculating the third wavelength oflight comprises multiplying the first wavelength of light times a secondphi factor, wherein the second phi factor is different from the firstphi factor. In some embodiments, the first phi factor and the second phifactor are the same. In some embodiments, the first phi factor and thesecond phi factor are different.

In some embodiments, the second phi factor comprises a product of ntimes φ, where n is >0 and φ is 1.618±ϵ, where ϵ is 0 to 1.

In some embodiments, n is a number in a range of 0.1 to 100. In someembodiments, n is 0.1. In some embodiments, n is 0.2. In someembodiments, n is 0.3. In some embodiments, n is 0.4. In someembodiments, n is 0.5. In some embodiments, n is 0.6. In someembodiments, n is 0.7. In some embodiments, n is 0.8. In someembodiments, n is 0.9. In some embodiments, n is 1. In some embodiments,n is 1.1. In some embodiments, n is 1.2. In some embodiments, n is 1.3.In some embodiments, n is 1.4. In some embodiments, n is 1.5. In someembodiments, n is 1.6. In some embodiments, n is 1.7. In someembodiments, n is 1.8. In some embodiments, n is 1.9. In someembodiments, n is 2. In some embodiments, n is 3. In some embodiments, nis 4. In some embodiments, n is 5. In some embodiments, n is 6. In someembodiments, n is 7. In some embodiments, n is 8. In some embodiments, nis 9. In some embodiments, n is 10. In some embodiments, n is 15. Insome embodiments, n is 20. In some embodiments, n is 25. In someembodiments, n is 30. In some embodiments, n is 35. In some embodiments,n is 40. In some embodiments, n is 45. In some embodiments, n is 50. Insome embodiments, n is 55. In some embodiments, n is 60. In someembodiments, n is 70. In some embodiments, n is 80. In some embodiments,n is 90. In some embodiments, n is 100. In some embodiments, it will beappreciated that the value of n is not particularly limited and thus,although values are provided herein, other n values may be used hereinwithout departing from the scope of this disclosure.

In some embodiments, ϵ is 0.1. In some embodiments, ϵ is 0.2. In someembodiments, ϵ is 0.3. In some embodiments, ϵ is 0.4. In someembodiments, ϵ is 0.5. In some embodiments, ϵ is 0.6. In someembodiments, ϵ is 0.7. In some embodiments, ϵ is 0.8. In someembodiments, ϵ is 0.9. In some embodiments, ϵ is 1. In some embodiments,it will be appreciated that the value of ϵ is not particularly limitedand thus, although values are provided herein, other ϵ values may beused herein without departing from the scope of this disclosure.

In some embodiments, the third wavelength of light defines a thirdcolor. In some embodiments, the third wavelength of light has awavelength in a range of 400 nm to 800 nm. In some embodiments, thethird wavelength of light has a wavelength in a range of 400 nm to 420nm. In some embodiments, the third wavelength of light has a wavelengthin a range of 400 nm to 440 nm. In some embodiments, the thirdwavelength of light has a wavelength in a range of 400 nm to 490 nm. Insome embodiments, the third wavelength of light has a wavelength in arange of 400 nm to 570 nm. In some embodiments, the third wavelength oflight has a wavelength in a range of 400 nm to 585 nm. In someembodiments, the third wavelength of light has a wavelength in a rangeof 400 nm to 620 nm. In some embodiments, the third wavelength of lighthas a wavelength in a range of 400 nm to 780 nm.

In some embodiments, the third wavelength of light has a wavelength in arange of 420 nm to 780 nm. In some embodiments, the third wavelength oflight has a wavelength in a range of 440 nm to 780 nm. In someembodiments, the third wavelength of light has a wavelength in a rangeof 490 nm to 780 nm. In some embodiments, the third wavelength of lighthas a wavelength in a range of 570 nm to 780 nm. In some embodiments,the third wavelength of light has a wavelength in a range of 585 nm to780 nm. In some embodiments, the third wavelength of light has awavelength in a range of 620 nm to 780 nm.

In some embodiments, the third wavelength of light has a wavelength in arange of 420 nm to 440 nm. In some embodiments, the third wavelength oflight has a wavelength in a range of 440 nm to 490 nm. In someembodiments, the third wavelength of light has a wavelength in a rangeof 490 nm to 570 nm. In some embodiments, the third wavelength of lighthas a wavelength in a range of 570 nm to 585 nm. In some embodiments,the third wavelength of light has a wavelength in a range of 585 nm to620 nm. In some embodiments, the third wavelength of light has awavelength in a range of 620 nm to 780 nm.

At step 108, in some embodiments, the method 100 comprises producing thebuilding material.

In some embodiments, the producing the building material comprisesmanufacturing a building material having at least one of the firstcolor, the second color, or any combination thereof. In someembodiments, the producing the building material comprises selecting abuilding material having at least one of the first color, the secondcolor, or any combination thereof. In some embodiments, the producingthe building material comprises constructing a building material havingat least one of the first color, the second color, or any combinationthereof. In some embodiments, the producing the building materialcomprises assembling a building material having at least one of thefirst color, the second color, or any combination thereof. In someembodiments, the producing the building material comprises obtaining abuilding material having at least one of the first color, the secondcolor, or any combination thereof. In some embodiments, the producingthe building material comprises requesting a building material having atleast one of the first color, the second color, or any combinationthereof. In some embodiments, the producing the building materialcomprises manufacturing (or custom manufacturing) a building materialhaving at least one of the first color, the second color, or anycombination thereof.

In some embodiments, the building material comprises a building materialhaving at least one of the first color, the second color, or anycombination thereof. In some embodiments, the building materialcomprises at least one of a first building material, a second buildingmaterial, or any combination thereof. In some embodiments, the firstbuilding material has the first color. In some embodiments, the secondbuilding material has the second color. In some embodiments, thebuilding material comprises a building material having a color blend. Insome embodiments, the color blend is a color resulting from acombination of the first color and the second color. In someembodiments, the color blend is a color that is different from at leastone of the first color, the second color, or any combination thereof.

FIG. 2 is a flowchart of a method for producing a roofing material,according to some embodiments. As shown in FIG. 2 , the method 200 forproducing the roofing material comprises, consists of, or consistsessentially of one or more of the following steps: a step 202 ofidentifying a first wavelength of light for a roofing material; a step204 of calculating a second wavelength of light for the roofingmaterial; a step 206 of calculating a third wavelength of light for theroofing material; a step 208 of producing the roofing material; and astep 210 of applying the roofing material to at least one roofingsubstrate.

At step 202, in some embodiments, the method 200 comprises identifying afirst wavelength of light for a roofing material.

In some embodiments, the identifying comprises selecting the firstwavelength of light. In some embodiments, the identifying comprisesmeasuring the first wavelength of light. In some embodiments, theidentifying comprises detecting the first wavelength of light. In someembodiments, the identifying comprises observing the first wavelength oflight. In some embodiments, the identifying comprises requesting thefirst wavelength of light. In some embodiments, the identifyingcomprises obtaining the first wavelength of light.

In some embodiments, the first wavelength of light defines a firstcolor. In some embodiments, the first wavelength of light has awavelength in a range of 400 nm to 800 nm. In some embodiments, thefirst wavelength of light has a wavelength in a range of 400 nm to 420nm. In some embodiments, the first wavelength of light has a wavelengthin a range of 400 nm to 440 nm. In some embodiments, the firstwavelength of light has a wavelength in a range of 400 nm to 490 nm. Insome embodiments, the first wavelength of light has a wavelength in arange of 400 nm to 570 nm. In some embodiments, the first wavelength oflight has a wavelength in a range of 400 nm to 585 nm. In someembodiments, the first wavelength of light has a wavelength in a rangeof 400 nm to 620 nm. In some embodiments, the first wavelength of lighthas a wavelength in a range of 400 nm to 780 nm.

In some embodiments, the first wavelength of light has a wavelength in arange of 420 nm to 780 nm. In some embodiments, the first wavelength oflight has a wavelength in a range of 440 nm to 780 nm. In someembodiments, the first wavelength of light has a wavelength in a rangeof 490 nm to 780 nm. In some embodiments, the first wavelength of lighthas a wavelength in a range of 570 nm to 780 nm. In some embodiments,the first wavelength of light has a wavelength in a range of 585 nm to780 nm. In some embodiments, the first wavelength of light has awavelength in a range of 620 nm to 780 nm.

In some embodiments, the first wavelength of light has a wavelength in arange of 420 nm to 440 nm. In some embodiments, the first wavelength oflight has a wavelength in a range of 440 nm to 490 nm. In someembodiments, the first wavelength of light has a wavelength in a rangeof 490 nm to 570 nm. In some embodiments, the first wavelength of lighthas a wavelength in a range of 570 nm to 585 nm. In some embodiments,the first wavelength of light has a wavelength in a range of 585 nm to620 nm. In some embodiments, the first wavelength of light has awavelength in a range of 620 nm to 780 nm.

At step 204, in some embodiments, the method 200 comprises calculating asecond wavelength of light for the roofing material.

In some embodiments, the calculating the second wavelength of lightcomprises multiplying the first wavelength of light by a phi factor. Insome embodiments, the phi factor is a product of n times φ, where nis >0 and φ is 1.618±ϵ, where ϵ is 0 to 1. In some embodiments, the phifactor is a first phi factor.

In some embodiments, n is a number in a range of 0.1 to 100. In someembodiments, n is 0.1. In some embodiments, n is 0.2. In someembodiments, n is 0.3. In some embodiments, n is 0.4. In someembodiments, n is 0.5. In some embodiments, n is 0.6. In someembodiments, n is 0.7. In some embodiments, n is 0.8. In someembodiments, n is 0.9. In some embodiments, n is 1. In some embodiments,n is 1.1. In some embodiments, n is 1.2. In some embodiments, n is 1.3.In some embodiments, n is 1.4. In some embodiments, n is 1.5. In someembodiments, n is 1.6. In some embodiments, n is 1.7. In someembodiments, n is 1.8. In some embodiments, n is 1.9. In someembodiments, n is 2. In some embodiments, n is 3. In some embodiments, nis 4. In some embodiments, n is 5. In some embodiments, n is 6. In someembodiments, n is 7. In some embodiments, n is 8. In some embodiments, nis 9. In some embodiments, n is 10. In some embodiments, n is 15. Insome embodiments, n is 20. In some embodiments, n is 25. In someembodiments, n is 30. In some embodiments, n is 35. In some embodiments,n is 40. In some embodiments, n is 45. In some embodiments, n is 50. Insome embodiments, n is 55. In some embodiments, n is 60. In someembodiments, n is 70. In some embodiments, n is 80. In some embodiments,n is 90. In some embodiments, n is 100. In some embodiments, it will beappreciated that the value of n is not particularly limited and thus,although values are provided herein, other n values may be used hereinwithout departing from the scope of this disclosure.

In some embodiments, ϵ is 0.1. In some embodiments, ϵ is 0.2. In someembodiments, ϵ is 0.3. In some embodiments, ϵ is 0.4. In someembodiments, ϵ is 0.5. In some embodiments, ϵ is 0.6. In someembodiments, ϵ is 0.7. In some embodiments, ϵ is 0.8. In someembodiments, ϵ is 0.9. In some embodiments, ϵ is 1. In some embodiments,it will be appreciated that the value of ϵ is not particularly limitedand thus, although values are provided herein, other ϵ values may beused herein without departing from the scope of this disclosure.

In some embodiments, the second wavelength of light defines a secondcolor. In some embodiments, the second wavelength of light has awavelength in a range of 400 nm to 800 nm. In some embodiments, thesecond wavelength of light has a wavelength in a range of 400 nm to 420nm. In some embodiments, the second wavelength of light has a wavelengthin a range of 400 nm to 440 nm. In some embodiments, the secondwavelength of light has a wavelength in a range of 400 nm to 490 nm. Insome embodiments, the second wavelength of light has a wavelength in arange of 400 nm to 570 nm. In some embodiments, the second wavelength oflight has a wavelength in a range of 400 nm to 585 nm. In someembodiments, the second wavelength of light has a wavelength in a rangeof 400 nm to 620 nm. In some embodiments, the second wavelength of lighthas a wavelength in a range of 400 nm to 780 nm.

In some embodiments, the second wavelength of light has a wavelength ina range of 420 nm to 780 nm. In some embodiments, the second wavelengthof light has a wavelength in a range of 440 nm to 780 nm. In someembodiments, the second wavelength of light has a wavelength in a rangeof 490 nm to 780 nm. In some embodiments, the second wavelength of lighthas a wavelength in a range of 570 nm to 780 nm. In some embodiments,the second wavelength of light has a wavelength in a range of 585 nm to780 nm. In some embodiments, the second wavelength of light has awavelength in a range of 620 nm to 780 nm.

In some embodiments, the second wavelength of light has a wavelength ina range of 420 nm to 440 nm. In some embodiments, the second wavelengthof light has a wavelength in a range of 440 nm to 490 nm. In someembodiments, the second wavelength of light has a wavelength in a rangeof 490 nm to 570 nm. In some embodiments, the second wavelength of lighthas a wavelength in a range of 570 nm to 585 nm. In some embodiments,the second wavelength of light has a wavelength in a range of 585 nm to620 nm. In some embodiments, the second wavelength of light has awavelength in a range of 620 nm to 780 nm.

At step 206, in some embodiments, the method 200 comprises calculating athird wavelength of light for the roofing material.

In some embodiments, the calculating the third wavelength of lightcomprises multiplying the first wavelength of light or the secondwavelength of light times a phi factor. In some embodiments, thecalculating the third wavelength of light comprises multiplying thesecond wavelength of light times the phi factor used for calculating thesecond wavelength of light. In some embodiments, the phi factor used forcalculating the second wavelength of light is a first phi factor. Insome embodiments, the calculating the third wavelength of lightcomprises multiply the second wavelength of light times a second phifactor, wherein the second phi factor is different from the first phifactor. In some embodiments, the calculating the third wavelength oflight comprises multiplying the first wavelength of light times a secondphi factor, wherein the second phi factor is different from the firstphi factor. In some embodiments, the first phi factor and the second phifactor are the same. In some embodiments, the first phi factor and thesecond phi factor are different.

In some embodiments, the second phi factor comprises a product of ntimes φ, where n is >0 and φ is 1.618±ϵ, where ϵ is 0 to 1.

In some embodiments, n is a number in a range of 0.1 to 100. In someembodiments, n is 0.1. In some embodiments, n is 0.2. In someembodiments, n is 0.3. In some embodiments, n is 0.4. In someembodiments, n is 0.5. In some embodiments, n is 0.6. In someembodiments, n is 0.7. In some embodiments, n is 0.8. In someembodiments, n is 0.9. In some embodiments, n is 1. In some embodiments,n is 1.1. In some embodiments, n is 1.2. In some embodiments, n is 1.3.In some embodiments, n is 1.4. In some embodiments, n is 1.5. In someembodiments, n is 1.6. In some embodiments, n is 1.7. In someembodiments, n is 1.8. In some embodiments, n is 1.9. In someembodiments, n is 2. In some embodiments, n is 3. In some embodiments, nis 4. In some embodiments, n is 5. In some embodiments, n is 6. In someembodiments, n is 7. In some embodiments, n is 8. In some embodiments, nis 9. In some embodiments, n is 10. In some embodiments, n is 15. Insome embodiments, n is 20. In some embodiments, n is 25. In someembodiments, n is 30. In some embodiments, n is 35. In some embodiments,n is 40. In some embodiments, n is 45. In some embodiments, n is 50. Insome embodiments, n is 55. In some embodiments, n is 60. In someembodiments, n is 70. In some embodiments, n is 80. In some embodiments,n is 90. In some embodiments, n is 100. In some embodiments, it will beappreciated that the value of n is not particularly limited and thus,although values are provided herein, other n values may be used hereinwithout departing from the scope of this disclosure.

In some embodiments, ϵ is 0.1. In some embodiments, ϵ is 0.2. In someembodiments, ϵ is 0.3. In some embodiments, ϵ is 0.4. In someembodiments, ϵ is 0.5. In some embodiments, ϵ is 0.6. In someembodiments, ϵ is 0.7. In some embodiments, ϵ is 0.8. In someembodiments, ϵ is 0.9. In some embodiments, ϵ is 1. In some embodiments,it will be appreciated that the value of ϵ is not particularly limitedand thus, although values are provided herein, other ϵ values may beused herein without departing from the scope of this disclosure.

In some embodiments, the third wavelength of light defines a thirdcolor. In some embodiments, the third wavelength of light has awavelength in a range of 400 nm to 800 nm. In some embodiments, thethird wavelength of light has a wavelength in a range of 400 nm to 420nm. In some embodiments, the third wavelength of light has a wavelengthin a range of 400 nm to 440 nm. In some embodiments, the thirdwavelength of light has a wavelength in a range of 400 nm to 490 nm. Insome embodiments, the third wavelength of light has a wavelength in arange of 400 nm to 570 nm. In some embodiments, the third wavelength oflight has a wavelength in a range of 400 nm to 585 nm. In someembodiments, the third wavelength of light has a wavelength in a rangeof 400 nm to 620 nm. In some embodiments, the third wavelength of lighthas a wavelength in a range of 400 nm to 780 nm.

In some embodiments, the third wavelength of light has a wavelength in arange of 420 nm to 780 nm. In some embodiments, the third wavelength oflight has a wavelength in a range of 440 nm to 780 nm. In someembodiments, the third wavelength of light has a wavelength in a rangeof 490 nm to 780 nm. In some embodiments, the third wavelength of lighthas a wavelength in a range of 570 nm to 780 nm. In some embodiments,the third wavelength of light has a wavelength in a range of 585 nm to780 nm. In some embodiments, the third wavelength of light has awavelength in a range of 620 nm to 780 nm.

In some embodiments, the third wavelength of light has a wavelength in arange of 420 nm to 440 nm. In some embodiments, the third wavelength oflight has a wavelength in a range of 440 nm to 490 nm. In someembodiments, the third wavelength of light has a wavelength in a rangeof 490 nm to 570 nm. In some embodiments, the third wavelength of lighthas a wavelength in a range of 570 nm to 585 nm. In some embodiments,the third wavelength of light has a wavelength in a range of 585 nm to620 nm. In some embodiments, the third wavelength of light has awavelength in a range of 620 nm to 780 nm.

At step 208, in some embodiments, the method 200 comprises producing theroofing material.

In some embodiments, the producing the roofing material comprisesmanufacturing a roofing material having at least one of the first color,the second color, the third color, or any combination thereof. In someembodiments, the producing the roofing material comprises selecting aroofing material having at least one of the first color, the secondcolor, the third color, or any combination thereof. In some embodiments,the producing the roofing material comprises constructing a roofingmaterial having at least one of the first color, the second color, thethird color, or any combination thereof. In some embodiments, theproducing the roofing material comprises assembling a roofing materialhaving at least one of the first color, the second color, the thirdcolor, or any combination thereof. In some embodiments, the producingthe roofing material comprises obtaining a roofing material having atleast one of the first color, the second color, the third color, or anycombination thereof. In some embodiments, the producing the roofingmaterial comprises requesting a roofing material having at least one ofthe first color, the second color, the third color, or any combinationthereof. In some embodiments, the producing the roofing materialcomprises manufacturing (e.g., custom manufacturing) a roofing materialhaving at least one of the first color, the second color, the thirdcolor, or any combination thereof. In some embodiments, the producingthe roofing material comprises producing a plurality of roofinggranules. Non-limiting examples of producing a plurality of roofinggranules are detailed in U.S. application Ser. No. 16/675,020, and U.S.Pat. Nos. 9,442,219, 11,053,684, all of which are hereby incorporated byreference in their entirety.

In some embodiments, the roofing material comprises a plurality ofroofing granules. In some embodiments, the plurality of roofing granuleshas at least one of the first color, the second color, the third color,or any combination thereof. In some embodiments, the plurality ofroofing granules comprises at least one of a first plurality of roofinggranules, a second plurality of roofing granules, a third plurality ofroofing granules, or any combination thereof. In some embodiments, thefirst plurality of roofing granules has the first color. In someembodiments, the second plurality of roofing granules has the secondcolor. In some embodiments, the third plurality of roofing granules hasthe third color. In some embodiments, the plurality of roofing granuleshas a color blend. In some embodiments, the color blend is a colorresulting from a combination of at least two of the first color, thesecond color, the third color, or any combination thereof. In someembodiments, the color blend is a color that is different from at leastone of the first color, the second color, the third color, or anycombination thereof.

In some embodiments, the roofing granule comprises, consists of, orconsists essentially of at least one of fines, granules, sand, metalflakes, reflective granules, ceramic granules, clay granules, compositeparticles comprising filled plastics (e.g., composite particles madewith highly filled plastics), polymer-based granules, or any combinationthereof. In some embodiments, the roofing granule comprises, consistsof, or consists essentially of at least one of greenstone, nephelenesyenite, common gravel, slate, gannister, quartz, quartzite, greystone,argillite, coal slag, copper slag, nickel slag, ceramic grog, talc,granite, siliceous sand, andesite, porphyry, marble, syenite, rhyolite,diabase, quartz, slate, basalt, sandstone, marine shell, a materialderived from a recycled manufactured good (e.g., at least one of abrick, a concrete, a porcelain, or any combination thereof), or anycombination thereof. In some embodiments, the roofing granule comprises,consists of, or consists essentially of a shape of or may comprise ashape resembling a sphere, a flake, a plate, a rod, or any combinationthereof.

At step 210, in some embodiments, the method 200 comprises applying theroofing material to at least one roofing substrate.

In some embodiments, the method 200 further comprises applying theplurality of roofing granules to at least one roofing substrate. In someembodiments, the applying comprises disposing on the at least oneroofing substrate, on a coating on the at least one roofing substrate,or any combination thereof using a substantially standard manufacturingline. A non-limiting example of a substantially standard manufacturingline for asphaltic shingles is detailed in U.S. Pat. No. 10,195,640 thecontents of which are hereby incorporated by reference in its entirety.Other non-limiting example of applying granules are detailed in U.S.Pat. Nos. 10,392,805, 9,498,795, 8,530,034, all of which are herebyincorporated by reference in their entirety. In some embodiments, themethod 200 comprises applying at least one of the first plurality ofroofing granules, the second plurality of roofing granules, the thirdplurality of roofing granules, or any combination thereof to at leastone roofing substrate. In some embodiments, the at least one roofingsubstrate comprises at least one of the following: at least a portion ofthe first plurality of roofing granules having the first color, at leasta portion of the second plurality of roofing granules having the secondcolor, at least a portion of the third plurality of roofing granuleshaving the third color, or any combination thereof.

In some embodiments, the method 200 further comprises applying theplurality of roofing granules to at least one of a first roofingsubstrate, a second roofing substrate, a third roofing substrate, or anycombination thereof. In some embodiments, the method 200 furthercomprises applying the first plurality of roofing granules having thefirst color to the first roofing substrate. In some embodiments, themethod 200 further comprises applying the second plurality of roofinggranules having the second color to the second roofing substrate. Insome embodiments, the method 200 further comprises applying the thirdplurality of roofing granules having the third color to the thirdroofing substrate.

In some embodiments, the first roofing substrate does not comprise thesecond plurality of roofing granules having the second color. In someembodiments, the first roofing substrate does not comprise the thirdplurality of roofing granules having the third color. In someembodiments, the second roofing substrate does not comprise the firstplurality of roofing granules having the first color. In someembodiments, the second roofing substrate does not comprise the thirdplurality of roofing granules having the third color. In someembodiments, the third roofing substrate does not comprise the firstplurality of roofing granules having the first color. In someembodiments, the third roofing substrate does not comprise the secondplurality of roofing granules having the second color.

In some embodiments, the method 200 further comprises applying theplurality of roofing granules having the color blend to at least oneroofing substrate. In some embodiments, the color blend comprises,consists of, or consists essentially of the first color and the secondcolor. In some embodiments, the color blend comprises, consists of, orconsists essentially of the first color and the third color. In someembodiments, the color blend comprises, consists of, or consistsessentially of the second color and the third color. In someembodiments, the color blend comprises, consists of, or consistsessentially of first color, the second color, and the third color. Insome embodiments, the color blend is different from at least one of thefirst color, the second color, the third color, or any combinationthereof.

In some embodiments, the at least one roofing substrate comprises atleast one of a plywood substrate, a glass substrate, a cellulosicsubstrate, a roof shingle, a glass mat, a fiberglass mat, anunderlayment, a roofing membrane, a roof deck, a photovoltaic (PV)panel, a modified bitumen (MODBIT) substrate, a roll good, a board (suchas but not limited to at least one of a foam board (e.g., apolyisocyanurate (ISO) foam board), a cover board, or any combinationthereof), a pipe, a base sheet, a chimney, a wax paper, or anycombination thereof. In some embodiments, the substrate comprisesasphalt (e.g., an asphalt coating, an asphalt-filled coating, and thelike). In some embodiments, the substrate does not comprise asphalt(e.g., 0% by weight of asphalt based on a total weight of thesubstrate).

FIG. 3 is a flowchart of a method for color matching a buildingmaterial, according to some embodiments. As shown in FIG. 3 , the method300 for color matching a building material comprises, consists of, orconsists essentially of one or more of the following steps: a step 302of identifying a first wavelength of light from a color source so as todefine a first color; a step 304 of calculating a second wavelength oflight so as to define a second color; a step 306 of calculating a thirdwavelength of light so as to define a third color; a step 308 ofselecting at least one building material having at least one of thefirst color, the second color, the third color, or any combinationthereof; and a step 310 of installing the at least one building materialon a building structure.

At step 302, in some embodiments, the method 300 comprises identifying afirst wavelength of light from a color source.

As used herein, the term “color source” refers to a material having atleast one color. In some embodiments, the color source is at least onebuilding material. In some embodiments, the color source is at least oneroofing material. In some embodiments, the color source is a sheetcomprising one or more colors. In some embodiments, the color source isa color swatch. In some embodiments, the color source is a colorpalette. In some embodiments, the color source is a building material.For example, in some embodiments, the color source is a first buildingmaterial comprising at least one of a first roofing shingle, a firstroofing granule, a first solar roofing panel, a first shutter, a firstsiding, a first wall, a first trim, any component thereof, or anycombination thereof. In some embodiments, it will be appreciated thatother materials having at least one color may be used herein withoutdeparting from the scope of this disclosure.

In some embodiments, the identifying comprises determining the firstwavelength of light. In some embodiments, the identifying comprisesmeasuring the first wavelength of light. In some embodiments, theidentifying comprises detecting the first wavelength of light. In someembodiments, the identifying comprises obtaining the first wavelength oflight. In some embodiments, the identifying comprises requesting thefirst wavelength of light. In some embodiments, the identifyingcomprises selecting the first wavelength of light. In some embodiments,the identifying comprises observing the first wavelength of light. Insome embodiments, the identifying comprises selecting a first color andat least one of determining, measuring, observing, detecting,requesting, obtaining, or any combination thereof the first wavelengthof light based on the selected first color. In some embodiments, theidentifying comprises selecting a first color from a color source anddetermining the first wavelength of light associated with the selectedfirst color. In some embodiments, the first wavelength of lightassociated with the selected first color is determined by measuring afirst wavelength of light of at least one of the selected first color,the color swatch, the color palette, the first building material, or anycombination thereof to obtain a first measured wavelength.

In some embodiments, the determining (e.g., measuring) is performedusing at least one of colorimeter, a spectrophotometer, or anycombination thereof. In some embodiments, the first measured wavelengthof light is within 25% of the first wavelength of light. In someembodiments, the first measured wavelength of light is within 20% of thefirst wavelength of light. In some embodiments, the first measuredwavelength of light is within 15% of the first wavelength of light. Insome embodiments, the first measured wavelength of light is within 10%of the first wavelength of light. In some embodiments, the firstmeasured wavelength of light is within 5% of the first wavelength oflight. In some embodiments, the first measured wavelength of light iswithin 1% of the first wavelength of light.

In some embodiments, the first wavelength of light defines a firstcolor. In some embodiments, the first wavelength of light has awavelength in a range of 400 nm to 800 nm. In some embodiments, thefirst wavelength of light has a wavelength in a range of 400 nm to 420nm. In some embodiments, the first wavelength of light has a wavelengthin a range of 400 nm to 440 nm. In some embodiments, the firstwavelength of light has a wavelength in a range of 400 nm to 490 nm. Insome embodiments, the first wavelength of light has a wavelength in arange of 400 nm to 570 nm. In some embodiments, the first wavelength oflight has a wavelength in a range of 400 nm to 585 nm. In someembodiments, the first wavelength of light has a wavelength in a rangeof 400 nm to 620 nm. In some embodiments, the first wavelength of lighthas a wavelength in a range of 400 nm to 780 nm.

In some embodiments, the first wavelength of light has a wavelength in arange of 420 nm to 780 nm. In some embodiments, the first wavelength oflight has a wavelength in a range of 440 nm to 780 nm. In someembodiments, the first wavelength of light has a wavelength in a rangeof 490 nm to 780 nm. In some embodiments, the first wavelength of lighthas a wavelength in a range of 570 nm to 780 nm. In some embodiments,the first wavelength of light has a wavelength in a range of 585 nm to780 nm. In some embodiments, the first wavelength of light has awavelength in a range of 620 nm to 780 nm.

In some embodiments, the first wavelength of light has a wavelength in arange of 420 nm to 440 nm. In some embodiments, the first wavelength oflight has a wavelength in a range of 440 nm to 490 nm. In someembodiments, the first wavelength of light has a wavelength in a rangeof 490 nm to 570 nm. In some embodiments, the first wavelength of lighthas a wavelength in a range of 570 nm to 585 nm. In some embodiments,the first wavelength of light has a wavelength in a range of 585 nm to620 nm. In some embodiments, the first wavelength of light has awavelength in a range of 620 nm to 780 nm.

At step 304, in some embodiments, the method 300 comprises calculating asecond wavelength of light.

In some embodiments, the calculating the second wavelength of lightcomprises multiplying the first wavelength of light by a phi factor. Insome embodiments, the phi factor is a first phi factor.

In some embodiments, n is a number in a range of 0.1 to 100. In someembodiments, n is 0.1. In some embodiments, n is 0.2. In someembodiments, n is 0.3. In some embodiments, n is 0.4. In someembodiments, n is 0.5. In some embodiments, n is 0.6. In someembodiments, n is 0.7. In some embodiments, n is 0.8. In someembodiments, n is 0.9. In some embodiments, n is 1. In some embodiments,n is 1.1. In some embodiments, n is 1.2. In some embodiments, n is 1.3.In some embodiments, n is 1.4. In some embodiments, n is 1.5. In someembodiments, n is 1.6. In some embodiments, n is 1.7. In someembodiments, n is 1.8. In some embodiments, n is 1.9. In someembodiments, n is 2. In some embodiments, n is 3. In some embodiments, nis 4. In some embodiments, n is 5. In some embodiments, n is 6. In someembodiments, n is 7. In some embodiments, n is 8. In some embodiments, nis 9. In some embodiments, n is 10. In some embodiments, n is 15. Insome embodiments, n is 20. In some embodiments, n is 25. In someembodiments, n is 30. In some embodiments, n is 35. In some embodiments,n is 40. In some embodiments, n is 45. In some embodiments, n is 50. Insome embodiments, n is 55. In some embodiments, n is 60. In someembodiments, n is 70. In some embodiments, n is 80. In some embodiments,n is 90. In some embodiments, n is 100. In some embodiments, it will beappreciated that the value of n is not particularly limited and thus,although values are provided herein, other n values may be used hereinwithout departing from the scope of this disclosure.

In some embodiments, ϵ is 0.1. In some embodiments, ϵ is 0.2. In someembodiments, ϵ is 0.3. In some embodiments, ϵ is 0.4. In someembodiments, ϵ is 0.5. In some embodiments, ϵ is 0.6. In someembodiments, ϵ is 0.7. In some embodiments, ϵ is 0.8. In someembodiments, ϵ is 0.9. In some embodiments, ϵ is 1. In some embodiments,it will be appreciated that the value of ϵ is not particularly limitedand thus, although values are provided herein, other c values may beused herein without departing from the scope of this disclosure.

In some embodiments, the second wavelength of light defines a secondcolor. In some embodiments, the second wavelength of light has awavelength in a range of 400 nm to 800 nm. In some embodiments, thesecond wavelength of light has a wavelength in a range of 400 nm to 420nm. In some embodiments, the second wavelength of light has a wavelengthin a range of 400 nm to 440 nm. In some embodiments, the secondwavelength of light has a wavelength in a range of 400 nm to 490 nm. Insome embodiments, the second wavelength of light has a wavelength in arange of 400 nm to 570 nm. In some embodiments, the second wavelength oflight has a wavelength in a range of 400 nm to 585 nm. In someembodiments, the second wavelength of light has a wavelength in a rangeof 400 nm to 620 nm. In some embodiments, the second wavelength of lighthas a wavelength in a range of 400 nm to 780 nm.

In some embodiments, the second wavelength of light has a wavelength ina range of 420 nm to 780 nm. In some embodiments, the second wavelengthof light has a wavelength in a range of 440 nm to 780 nm. In someembodiments, the second wavelength of light has a wavelength in a rangeof 490 nm to 780 nm. In some embodiments, the second wavelength of lighthas a wavelength in a range of 570 nm to 780 nm. In some embodiments,the second wavelength of light has a wavelength in a range of 585 nm to780 nm. In some embodiments, the second wavelength of light has awavelength in a range of 620 nm to 780 nm.

In some embodiments, the second wavelength of light has a wavelength ina range of 420 nm to 440 nm. In some embodiments, the second wavelengthof light has a wavelength in a range of 440 nm to 490 nm. In someembodiments, the second wavelength of light has a wavelength in a rangeof 490 nm to 570 nm. In some embodiments, the second wavelength of lighthas a wavelength in a range of 570 nm to 585 nm. In some embodiments,the second wavelength of light has a wavelength in a range of 585 nm to620 nm. In some embodiments, the second wavelength of light has awavelength in a range of 620 nm to 780 nm.

At step 306, in some embodiments, the method 300 comprises calculating athird wavelength of light.

In some embodiments, the calculating the third wavelength of lightcomprises multiplying the first wavelength of light or the secondwavelength of light times a phi factor. In some embodiments, thecalculating the third wavelength of light comprises multiplying thesecond wavelength of light times the phi factor used for calculating thesecond wavelength of light. In some embodiments, the phi factor used forcalculating the second wavelength of light is a first phi factor. Insome embodiments, the calculating the third wavelength of lightcomprises multiply the second wavelength of light times a second phifactor, wherein the second phi factor is different from the first phifactor. In some embodiments, the calculating the third wavelength oflight comprises multiplying the first wavelength of light times a secondphi factor, wherein the second phi factor is different from the firstphi factor. In some embodiments, the first phi factor and the second phifactor are the same. In some embodiments, the first phi factor and thesecond phi factor are different.

In some embodiments, the second phi factor comprises a product of ntimes φ, where n is >0 and φ is 1.618±ϵ, where ϵ 0 to 1.

In some embodiments, n is a number in a range of 0.1 to 100. In someembodiments, n is 0.1. In some embodiments, n is 0.2. In someembodiments, n is 0.3. In some embodiments, n is 0.4. In someembodiments, n is 0.5. In some embodiments, n is 0.6. In someembodiments, n is 0.7. In some embodiments, n is 0.8. In someembodiments, n is 0.9. In some embodiments, n is 1. In some embodiments,n is 1.1. In some embodiments, n is 1.2. In some embodiments, n is 1.3.In some embodiments, n is 1.4. In some embodiments, n is 1.5. In someembodiments, n is 1.6. In some embodiments, n is 1.7. In someembodiments, n is 1.8. In some embodiments, n is 1.9. In someembodiments, n is 2. In some embodiments, n is 3. In some embodiments, nis 4. In some embodiments, n is 5. In some embodiments, n is 6. In someembodiments, n is 7. In some embodiments, n is 8. In some embodiments, nis 9. In some embodiments, n is 10. In some embodiments, n is 15. Insome embodiments, n is 20. In some embodiments, n is 25. In someembodiments, n is 30. In some embodiments, n is 35. In some embodiments,n is 40. In some embodiments, n is 45. In some embodiments, n is 50. Insome embodiments, n is 55. In some embodiments, n is 60. In someembodiments, n is 70. In some embodiments, n is 80. In some embodiments,n is 90. In some embodiments, n is 100. In some embodiments, it will beappreciated that the value of n is not particularly limited and thus,although values are provided herein, other n values may be used hereinwithout departing from the scope of this disclosure.

In some embodiments, ϵ is 0.1. In some embodiments, ϵ is 0.2. In someembodiments, ϵ is 0.3. In some embodiments, ϵ is 0.4. In someembodiments, ϵ is 0.5. In some embodiments, ϵ is 0.6. In someembodiments, ϵ is 0.7. In some embodiments, ϵ is 0.8. In someembodiments, ϵ is 0.9. In some embodiments, ϵ is 1. In some embodiments,it will be appreciated that the value of ϵ is not particularly limitedand thus, although values are provided herein, other c values may beused herein without departing from the scope of this disclosure.

In some embodiments, the third wavelength of light defines a thirdcolor. In some embodiments, the third wavelength of light has awavelength in a range of 400 nm to 800 nm. In some embodiments, thethird wavelength of light has a wavelength in a range of 400 nm to 420nm. In some embodiments, the third wavelength of light has a wavelengthin a range of 400 nm to 440 nm. In some embodiments, the thirdwavelength of light has a wavelength in a range of 400 nm to 490 nm. Insome embodiments, the third wavelength of light has a wavelength in arange of 400 nm to 570 nm. In some embodiments, the third wavelength oflight has a wavelength in a range of 400 nm to 585 nm. In someembodiments, the third wavelength of light has a wavelength in a rangeof 400 nm to 620 nm. In some embodiments, the third wavelength of lighthas a wavelength in a range of 400 nm to 780 nm.

In some embodiments, the third wavelength of light has a wavelength in arange of 420 nm to 780 nm. In some embodiments, the third wavelength oflight has a wavelength in a range of 440 nm to 780 nm. In someembodiments, the third wavelength of light has a wavelength in a rangeof 490 nm to 780 nm. In some embodiments, the third wavelength of lighthas a wavelength in a range of 570 nm to 780 nm. In some embodiments,the third wavelength of light has a wavelength in a range of 585 nm to780 nm. In some embodiments, the third wavelength of light has awavelength in a range of 620 nm to 780 nm.

In some embodiments, the third wavelength of light has a wavelength in arange of 420 nm to 440 nm. In some embodiments, the third wavelength oflight has a wavelength in a range of 440 nm to 490 nm. In someembodiments, the third wavelength of light has a wavelength in a rangeof 490 nm to 570 nm. In some embodiments, the third wavelength of lighthas a wavelength in a range of 570 nm to 585 nm. In some embodiments,the third wavelength of light has a wavelength in a range of 585 nm to620 nm. In some embodiments, the third wavelength of light has awavelength in a range of 620 nm to 780 nm.

At step 308, in some embodiments, the method 300 comprises selecting atleast one building material having at least one of the first color, thesecond color, the third color, or any combination thereof.

In some embodiments, the selecting comprises having a person select atleast one building material having at least one of the first color, thesecond color, the third color, or any combination thereof. In someembodiments, the selecting comprises having a color matching algorithmselect at least one building material having at least one of the firstcolor, the second color, the third color, or any combination thereof. Insome embodiments, the selecting comprises obtaining at least onebuilding material having at least one of the first color, the secondcolor, the third, color, or any combination thereof. In someembodiments, the selecting comprises manufacturing at least one buildingmaterial having at least one of the first color, the second color, thethird, color, or any combination thereof. In some embodiments, theselecting comprises selecting at least one building material having atleast one of the first color, the second color, the third color, or anycombination thereof. In some embodiments, the selecting comprisesconstructing at least one building material having at least one of thefirst color, the second color, the third color, or any combinationthereof. In some embodiments, the selecting comprises assembling atleast one building material having at least one of the first color, thesecond color, the third color, or any combination thereof. In someembodiments, the selecting comprises requesting at least one buildingmaterial having at least one of the first color, the second color, thethird color, or any combination thereof. In some embodiments, theselecting comprises custom manufacturing at least one building materialhaving at least one of the first color, the second color, the thirdcolor, or any combination thereof.

In some embodiments, the at least one building material comprises,consists of, or consists essentially of at least one of the firstbuilding material, the second building material, the third buildingmaterial, or any combination thereof.

In some embodiments, the at least one building material comprises,consists of, or consists essentially of a first building material havingthe first color. In some embodiments, the first building material havingthe first color comprises, consists of, or consists essentially of atleast one of a first roofing shingle, a first roofing granule, a firstsolar roofing panel, a first shutter, a first siding, a first wall, afirst trim, any component thereof, or any combination thereof.

In some embodiments, the at least one building material comprises,consists of, or consists essentially of a second building materialhaving the second color. In some embodiments, the second buildingmaterial having the second color comprises, consists of, or consistsessentially of at least one of a second roofing shingle, a secondroofing granule, a second solar roofing panel, a second shutter, asecond siding, a second wall, a second trim, any component thereof, orany combination thereof.

In some embodiments, the at least one building material comprises,consists of, or consists essentially of a third building material havingthe third color. In some embodiments, the third building material havingthe third color comprises, consists of, or consists essentially of atleast one of a third roofing shingle, a third roofing granule, a thirdsolar roofing panel, a third shutter, a third siding, a third wall, athird trim, any component thereof, or any combination thereof.

At step 310, in some embodiments, the method 300 comprises installingthe at least one building material on a building structure.

In some embodiments, the installing comprises mounting the at least onebuilding material to the building structure. In some embodiments, theinstalling comprises fastening the at least one building material to thebuilding structure. In some embodiments, the installing securingcomprises the at least one building material to the building structure.In some embodiments, the installing comprises attaching the at least onebuilding material to the building structure. In some embodiments, theinstalling comprises inserting the at least one building material on thebuilding structure. In some embodiments, the installing comprises the atleast one building material to the building structure. In someembodiments, the installing comprises adhering the at least one buildingmaterial to the building structure. In some embodiments, at least one ofnails, screws, staples, adhesive, any combination thereof, or othersimilar mechanical components is used for the installing.

In some embodiments, the at least one building material comprises,consists of, or consists essentially of at least one of the firstroofing shingle, the first roofing granule, the first solar roofingpanel, the first shutter, the first siding, the first wall, the firsttrim, the second roofing shingle, the second roofing granule, the secondsolar roofing panel, the second shutter, the second siding, the secondwall, the second trim, the third roofing shingle, the third roofinggranule, the third solar roofing panel, the third shutter, the thirdsiding, the third wall, the third trim, any component thereof, or anycombination thereof on the building structure. In some embodiments, thebuilding structure is a residential building. In some embodiments, thebuilding structure is a commercial building. In some embodiments, thebuilding structure is an industrial building.

In some embodiments, the at least one building material having the firstcolor has a first measured wavelength of light within 10% (e.g., 0.1% to10%) of the first wavelength of light. In some embodiments, the at leastone building material having the first color has a first measuredwavelength of light within 9% of the first wavelength of light. In someembodiments, the at least one building material having the first colorhas a first measured wavelength of light within 8% of the firstwavelength of light. In some embodiments, the at least one buildingmaterial having the first color has a first measured wavelength of lightwithin 7% of the first wavelength of light. In some embodiments, the atleast one building material having the first color has a first measuredwavelength of light within 6% of the first wavelength of light. In someembodiments, the at least one building material having the first colorhas a first measured wavelength of light within 5% of the firstwavelength of light. In some embodiments, the at least one buildingmaterial having the first color has a first measured wavelength of lightwithin 4% of the first wavelength of light. In some embodiments, the atleast one building material having the first color has a first measuredwavelength of light within 3% of the first wavelength of light. In someembodiments, the at least one building material having the first colorhas a first measured wavelength of light within 2% of the firstwavelength of light. In some embodiments, the at least one buildingmaterial having the first color has a first measured wavelength of lightwithin 1% of the first wavelength of light. In some embodiments, the atleast one building material having the first color has a first measuredwavelength of light that is the same as the first wavelength of light.

In some embodiments, the at least one building material having thesecond color has a second measured wavelength of light within 10% (e.g.,0.1% to 10%) of the second wavelength of light. In some embodiments, theat least one building material having the second color has a secondmeasured wavelength of light within 9% of the second wavelength oflight. In some embodiments, the at least one building material havingthe second color has a second measured wavelength of light within 8% ofthe second wavelength of light. In some embodiments, the at least onebuilding material having the second color has a second measuredwavelength of light within 7% of the second wavelength of light. In someembodiments, the at least one building material having the second colorhas a second measured wavelength of light within 6% of the secondwavelength of light. In some embodiments, the at least one buildingmaterial having the second color has a second measured wavelength oflight within 5% of the second wavelength of light. In some embodiments,the at least one building material having the second color has a secondmeasured wavelength of light within 4% of the second wavelength oflight. In some embodiments, the at least one building material havingthe second color has a second measured wavelength of light within 3% ofthe second wavelength of light. In some embodiments, the at least onebuilding material having the second color has a second measuredwavelength of light within 2% of the second wavelength of light. In someembodiments, the at least one building material having the second colorhas a second measured wavelength of light within 1% of the secondwavelength of light. In some embodiments, the at least one buildingmaterial having the second color has a second measured wavelength oflight that is the same as the second wavelength of light.

In some embodiments, the at least one building material having the thirdcolor has a third measured wavelength of light within 10% (e.g., 0.1% to10%) of the third wavelength of light. In some embodiments, the at leastone building material having the third color has a third measuredwavelength of light within 9% of the third wavelength of light. In someembodiments, the at least one building material having the third colorhas a third measured wavelength of light within 8% of the thirdwavelength of light. In some embodiments, the at least one buildingmaterial having the third color has a third measured wavelength of lightwithin 7% of the third wavelength of light. In some embodiments, the atleast one building material having the third color has a third measuredwavelength of light within 6% of the third wavelength of light. In someembodiments, the at least one building material having the third colorhas a third measured wavelength of light within 5% of the thirdwavelength of light. In some embodiments, the at least one buildingmaterial having the third color has a third measured wavelength of lightwithin 4% of the third wavelength of light. In some embodiments, the atleast one building material having the third color has a third measuredwavelength of light within 3% of the third wavelength of light. In someembodiments, the at least one building material having the third colorhas a third measured wavelength of light within 2% of the thirdwavelength of light. In some embodiments, the at least one buildingmaterial having the third color has a third measured wavelength of lightwithin 1% of the third wavelength of light. In some embodiments, the atleast one building material having the third color has a third measuredwavelength of light that is the same as the third wavelength of light.

FIG. 4 is a flowchart of a method for producing a roofing shingle,according to some embodiments. As shown in FIG. 4 , the method 400 forproducing the roofing shingle comprises, consists of, or consistsessentially of one or more of the following steps: a step 402 ofidentifying a first dimension of a tab portion or an exposed portion ofa roofing shingle; a step 404 of calculating a second dimension of thetab portion or the exposed portion of the roofing shingle; and a step406 of producing a roofing shingle having at least one of the firstdimension, the second dimension, or any combination thereof.

At step 402, in some embodiments, the method 400 comprises identifying afirst dimension of a tab portion or an exposed portion of a roofingshingle.

In some embodiments, the identifying comprises measuring a firstdimension of a tab portion or an exposed portion of a roofing shingle.In some embodiments, the identifying comprises selecting a firstdimension of a tab portion or an exposed portion of a roofing shingle.In some embodiments, the identifying comprises calculating a firstdimension of a tab portion or an exposed portion of a roofing shingle.In some embodiments, the identifying comprises approximating a firstdimension of a tab portion or an exposed portion of a roofing shingle.In some embodiments, the identifying comprises acquiring a firstdimension of a tab portion or an exposed portion of a roofing shingle.In some embodiments, the identifying comprises receiving a firstdimension of a tab portion or an exposed portion of a roofing shingle.In some embodiments, the identifying comprises obtaining a firstdimension of a tab portion or an exposed portion of a roofing shingle.

In some embodiments, the first dimension comprises or is selected fromthe group consisting of at least one of a length of the tab portion, alength of the exposed portion, a width of the tab portion, a width ofthe exposed portion, a surface area of the tab portion, a surface areaof the exposed portion, or any combination thereof. In some embodiments,the first dimension comprises a length of the tab portion. In someembodiments, the first dimension comprises a length of the exposedportion. In some embodiments, the first dimension comprises a width ofthe tab portion. In some embodiments, the first dimension comprises awidth of the exposed portion. In some embodiments, the first dimensioncomprises a surface area of the tab portion. In some embodiments, thefirst dimension comprises a surface area of the exposed portion.

At step 404, in some embodiments, the method 400 comprises calculating asecond dimension of the tab portion or the exposed portion of theroofing shingle.

In some embodiments, the calculating the second dimension of the tabportion or the exposed portion of the roofing shingle comprisesmultiplying the first dimension by a phi factor. In some embodiments,the phi factor is a product of n times φ, where n is >0 and φ is1.618±ϵ, where ϵ is 0 to 1.

In some embodiments, n is a number in a range of 0.1 to 100. In someembodiments, n is 0.1. In some embodiments, n is 0.2. In someembodiments, n is 0.3. In some embodiments, n is 0.4. In someembodiments, n is 0.5. In some embodiments, n is 0.6. In someembodiments, n is 0.7. In some embodiments, n is 0.8. In someembodiments, n is 0.9. In some embodiments, n is 1. In some embodiments,n is 1.1. In some embodiments, n is 1.2. In some embodiments, n is 1.3.In some embodiments, n is 1.4. In some embodiments, n is 1.5. In someembodiments, n is 1.6. In some embodiments, n is 1.7. In someembodiments, n is 1.8. In some embodiments, n is 1.9. In someembodiments, n is 2. In some embodiments, n is 3. In some embodiments, nis 4. In some embodiments, n is 5. In some embodiments, n is 6. In someembodiments, n is 7. In some embodiments, n is 8. In some embodiments, nis 9. In some embodiments, n is 10. In some embodiments, n is 15. Insome embodiments, n is 20. In some embodiments, n is 25. In someembodiments, n is 30. In some embodiments, n is 35. In some embodiments,n is 40. In some embodiments, n is 45. In some embodiments, n is 50. Insome embodiments, n is 55. In some embodiments, n is 60. In someembodiments, n is 70. In some embodiments, n is 80. In some embodiments,n is 90. In some embodiments, n is 100. In some embodiments, it will beappreciated that the value of n is not particularly limited and thus,although values are provided herein, other n values may be used hereinwithout departing from the scope of this disclosure.

In some embodiments, ϵ is 0.1. In some embodiments, ϵ is 0.2. In someembodiments, ϵ is 0.3. In some embodiments, ϵ is 0.4. In someembodiments, ϵ is 0.5. In some embodiments, ϵ is 0.6. In someembodiments, ϵ is 0.7. In some embodiments, ϵ is 0.8. In someembodiments, ϵ is 0.9. In some embodiments, ϵ is 1. In some embodiments,it will be appreciated that the value of ϵ is not particularly limitedand thus, although values are provided herein, other ϵ values may beused herein without departing from the scope of this disclosure.

In some embodiments, the second dimension comprises or is selected fromthe group consisting of at least one of a length of the tab portion, alength of the exposed portion, a width of the tab portion, a width ofthe exposed portion, a surface area of the tab portion, a surface areaof the exposed portion, or any combination thereof. In some embodiments,the second dimension comprises a length of the tab portion. In someembodiments, the second dimension comprises a length of the exposedportion. In some embodiments, the second dimension comprises a width ofthe tab portion. In some embodiments, the second dimension comprises awidth of the exposed portion. In some embodiments, second firstdimension comprises a surface area of the tab portion. In someembodiments, the second dimension comprises a surface area of theexposed portion.

In some embodiments, the second dimension is a dimension that isdifferent from the first dimension. For example, in some embodiments,when the first dimension is the length of the tab portion, the seconddimension is the width of the tab portion. In some embodiments, when thefirst dimension is the width of the tab portion, the second dimension isthe length of the tab portion. In some embodiments, when the firstdimension is the length of the exposed portion, the second dimension isthe width of the exposed portion. In some embodiments, when the firstdimension is the width of the exposed portion, the second dimension isthe length of the exposed portion. In some embodiments, when the firstdimension is the surface area of the tab portion, the second dimensionis the surface area of the exposed portion. In some embodiments, whenthe first dimension is the surface area of the exposed portion, thesecond dimension is the surface area of the tab portion.

At step 406, in some embodiments, the method 400 comprises producing aroofing shingle having at least one of the first dimension, the seconddimension, or any combination thereof.

In some embodiments, the producing the roofing shingle comprisesconstructing a roofing shingle having at least one of the firstdimension, the second dimension, or any combination thereof. In someembodiments, the producing the roofing shingle comprises assembling aroofing shingle having at least one of the first dimension, the seconddimension, or any combination thereof. In some embodiments, theproducing the roofing shingle comprises manufacturing a roofing shinglehaving at least one of the first dimension, the second dimension, or anycombination thereof. In some embodiments, the producing the roofingshingle comprises custom manufacturing a roofing shingle having at leastone of the first dimension, the second dimension, or any combinationthereof. In some embodiments, the producing the roofing shinglecomprises selecting a roofing shingle having at least one of the firstdimension, the second dimension, or any combination thereof. In someembodiments, the producing the roofing shingle comprises obtaining aroofing shingle having at least one of the first dimension, the seconddimension, or any combination thereof. In some embodiments, theproducing the roofing shingle comprises requesting a roofing shinglehaving at least one of the first dimension, the second dimension, or anycombination thereof.

In some embodiments, the roofing shingle that is produced is a roofingshingle having the tab portion having the first dimension and the seconddimension. For example, in some embodiments, the roofing shingle havingthe first dimension and the second dimension is a roofing shingle havingthe length of the tab portion and the width of the tab portion,respectively. In some embodiments, the roofing shingle having the firstdimension and the second dimension is a roofing shingle having the widthof the tab portion and the length of the tab portion, respectively.

In some embodiments, the roofing shingle that is produced is a roofingshingle having the exposed portion having the first dimension and thesecond dimension. For example, in some embodiments, the roofing shinglehaving the first dimension and the second dimension is a roofing shinglehaving the length of the exposed portion and the width of the exposedportion, respectively. In some embodiments, the roofing shingle havingthe first dimension and the second dimension is a roofing shingle havingthe width of the exposed portion and the length of the exposed portion,respectively.

In some embodiments, the roofing shingle that is produced is a roofingshingle having a tab portion having the first dimension and an exposedportion having the second dimension. In some embodiments, the roofingshingle that is produced is a roofing shingle having an exposed portionhaving the first dimension and a tab portion having the seconddimension. In some embodiments, the roofing shingle having the firstdimension and the second dimension is a roofing shingle having thesurface area of the tab portion and the surface area of the exposedportion, respectively. In some embodiments, the roofing shingle havingthe first dimension and the second dimension is a roofing shingle havingthe surface area of the exposed portion and the surface area of the tabportion, respectively. In some embodiments, when the first dimension isthe surface area of the tab portion, the second dimension is the surfacearea of the exposed portion. In some embodiments, when the firstdimension is the surface area of the exposed portion, the seconddimension is the surface area of the tab portion.

FIG. 5 is a schematic diagram of a roofing shingle 500, according tosome embodiments. In some embodiments, the roofing shingle 500 isillustrative of the various dimensions of the tab portion and exposedportion of a roofing shingle. For example, in some embodiments, theroofing shingle 500 comprises a plurality of tab portions 502, 504, 506and a plurality of exposed portions 508, 510, 512. In some embodiments,the tab portion 502 comprises a width 514 and a height 516. In someembodiments, the exposed portion 512 comprises a width 518 and a height520. In some embodiments, the surface area of the tab portion 502 isrelated to the mathematical product of the width 514 multiplied timesthe height 516. In some embodiments, the surface area of the exposedportion 512 is related to the mathematical product of the width 518multiplied times the height 520. Although only the dimensions for thetab portion 502 and the exposed portion 512 are discussed, tab portions504, 506 and exposed portions 508, 510 can have same or similardimensions, respectively. As used herein, dimensions within 1% of eachother are understood to be the same; and dimensions within 5% of eachother are understood to be similar.

What is claimed is:
 1. A method comprising: identifying a firstwavelength of light for a first plurality of roofing granules, whereinthe first wavelength of light determines a first color; calculating asecond wavelength of light for a second plurality of roofing granules,wherein the second wavelength of light is calculated by multiplying thefirst wavelength of light by a first phi factor, wherein the secondwavelength of light determines a second color; producing the firstplurality of roofing granules and the second plurality of roofinggranules, wherein the first plurality of roofing granules has the firstcolor, wherein the second plurality of roofing granules has the secondcolor, applying the first plurality of roofing granules and the secondplurality of roofing granules to at least one roofing substrate, so asto form a roofing shingle, wherein the at least one roofing substratecomprises at least a portion of the first plurality of roofing granulesand at least a portion of the second plurality of roofing granules. 2.The method of claim 1, wherein the first phi factor is a product of ntimes φ, where n is >0 and φ is 1.618±ϵ, where ϵ is 0 to
 1. 3. Themethod of claim 1, wherein the at least one roofing substrate comprisesan asphalt filled coating.
 4. A method comprising: identifying a firstwavelength of light for a first plurality of roofing granules, whereinthe first wavelength of light determines a first color; calculating asecond wavelength of light for a second plurality of roofing granules,wherein the second wavelength of light is calculated by multiplying thefirst wavelength of light by a first phi factor, wherein the secondwavelength of light determines a second color; calculating a thirdwavelength of light for a third plurality of roofing granules, whereinthe third wavelength of light is calculated by multiplying the firstwavelength of light times a second phi factor or by multiplying thesecond wavelength of light times the second phi factor, wherein thethird wavelength of light determines a third color; and producing thefirst plurality of roofing granules, the second plurality of roofinggranules, and the third plurality of roofing granules, wherein the firstplurality of roofing granules has the first color, wherein the secondplurality of roofing granules has the second color, wherein the thirdplurality of roofing granules has the third color; applying the firstplurality of roofing granules, the second plurality of roofing granules,and the third plurality of roofing granules to at least one roofingsubstrate, so as to form a roofing shingle, wherein the at least oneroofing substrate comprises at least a portion of the first plurality ofroofing granules, at least a portion of the second plurality of roofinggranules, and at least a portion of the third plurality of roofinggranules.
 5. The method of claim 4, wherein the at least one roofingsubstrate comprises an asphalt filled coating.
 6. The method of claim 4,wherein the first phi factor and the second phi factor are the same. 7.The method of claim 4, wherein the first phi factor and the second phifactor are different.
 8. The method of claim 4, wherein the first phifactor is a product of n times φ, where n is >0 and φ is 1.618±ϵ, whereϵ is 0 to
 1. 9. The method of claim 4, wherein the second phi factor isa product of n times φ, where n is >0 and φ is 1.618±ϵ, where ϵ is 0to
 1. 10. A method comprising: identifying a first wavelength of lightfor a first plurality of roofing granules, wherein the first wavelengthof light determines a first color; calculating a second wavelength oflight for a second plurality of roofing granules, wherein the secondwavelength of light is calculated by multiplying the first wavelength oflight by a first phi factor, wherein the second wavelength of lightdetermines a second color; calculating a third wavelength of light for athird plurality of roofing granules, wherein the third wavelength oflight is calculated by multiplying the first wavelength of light times asecond phi factor or by multiplying the second wavelength of light timesthe second phi factor, wherein the third wavelength of light determinesa third color; and producing the first plurality of roofing granules,the second plurality of roofing granules, and the third plurality ofroofing granules, wherein the first plurality of roofing granules hasthe first color, wherein the second plurality of roofing granules hasthe second color, wherein the third plurality of roofing granules hasthe third color; applying the first plurality of roofing granules to afirst roofing substrate; applying the second plurality of roofinggranules to a second roofing substrate; applying the third plurality ofroofing granules to a third roofing substrate.
 11. The method of claim10, wherein the first roofing substrate does not comprise the secondplurality of roofing granules.
 12. The method of claim 10, wherein thefirst roofing substrate does not comprise the third plurality of roofinggranules.
 13. The method of claim 10, wherein the second roofingsubstrate does not comprise the first plurality of roofing granules. 14.The method of claim 10, wherein the second roofing substrate does notcomprise the third plurality of roofing granules.
 15. The method ofclaim 10, wherein the third roofing substrate does not comprise thefirst plurality of roofing granules.
 16. The method of claim 10, whereinthe third roofing substrate does not comprise the second plurality ofroofing granules.
 17. The method of claim 10, wherein the first phifactor and the second phi factor are the same.
 18. The method of claim10, wherein the first phi factor and the second phi factor aredifferent.
 19. The method of claim 10, wherein the first phi factor is aproduct of n times φ, where n is >0 and φ is 1.618±ϵ, where ϵ is 0 to 1.20. The method of claim 10, wherein the second phi factor is a productof n times φ, where n is >0 and φ is 1.618±ϵ, where ϵ 0 to 1.